stir and mix
拌 centers on the action of stirring and mixing, typically with a hand or tool, to combine ingredients or substances together.
拌 combines the hand radical 扌 with 半, which likely contributes both sound and the idea of dividing or mixing in half. The character suggests using the hand to stir and blend things together.
The hand radical 扌 beside 半 (half) suggests using your hand to stir two halves together into one mixture.
For ハン, imagine stirring a pan of batter with your hand: pan -> ハン, and the hand mixes everything evenly.
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